Modeling and Optimization Sustainable Forest Supply Chain Considering Discount in Transportation System and Supplier Selection under Uncertainty

In recent decades, the forest industry has been growingly expanded due to economic conditions, climate changes, environmental and energy policies, intense demand changes. Thus, appropriate planning is required improve this industry. To achieve economic, social goals, a supply chain network designed based on multi-period multi-product Mixed-Integer Non-Linear Programming (MINLP) model in which objective maximize profit, minimize detrimental effects, number of lost demands. addition, planning, strategic tactical decisions have implemented throughout for all facilities, suppliers machinery. These significantly help processes product flows meet customers’ needs. because presence uncertainty some parameters, proposed was formulated optimized under using hybrid robust possibilistic programming (HRPP-II) approach. The ε-constraint technique used solve multi-objective model, Lagrangian relaxation (LR) method utilized more complex dimensions. A case study Northern Iran conducted assess efficiency suggested Finally, sensitivity analysis performed determine impact important parameters functions. results show that increasing working hours machines instead their number, capacity facilities establishing new expanding transport fleet significant achieving predetermined goals.